Pith Number

pith:AXQK3UWF

pith:2015:AXQK3UWFJSVPVYHQKJV2SV7ATI

not attested not anchored not stored refs pending

Primitive ideals and K-theoretic approach to Bost-Connes systems

Takuya Takeishi

arxiv:1511.02662 v2 · 2015-11-09 · math.OA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXQK3UWFJSVPVYHQKJV2SV7ATI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:24:45.681887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e0add2c54caafae0f0526ba957e09a325c7f5a4ed914f46a6c2dc45e16cfb1

Aliases

arxiv: 1511.02662 · arxiv_version: 1511.02662v2 · doi: 10.48550/arxiv.1511.02662 · pith_short_12: AXQK3UWFJSVP · pith_short_16: AXQK3UWFJSVPVYHQ · pith_short_8: AXQK3UWF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AXQK3UWFJSVPVYHQKJV2SV7ATI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 05e0add2c54caafae0f0526ba957e09a325c7f5a4ed914f46a6c2dc45e16cfb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6d57779b763e10d37d873315a150b095d481e93119ace067fe5816214ba1b1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-09T12:50:10Z",
    "title_canon_sha256": "fab7aed7a4dce182659510f157096844f7dbd93f59d87bb85f371f31af02b1e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02662",
    "kind": "arxiv",
    "version": 2
  }
}